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2213442220 = 2251122034567
BaseRepresentation
bin1000001111101110…
…0111001010101100
312201020222111220111
42003323213022230
514013120122340
61003345425404
7105564643213
oct20373471254
95636874814
102213442220
11a364809a0
1251933b264
13293759c32
1416dd7a07a
15ce4c4aea
hex83ee72ac

2213442220 has 48 divisors (see below), whose sum is σ = 5074207488. Its totient is φ = 804346560.

The previous prime is 2213442199. The next prime is 2213442227. The reversal of 2213442220 is 222443122.

It is a super-2 number, since 2×22134422202 = 9798652922557056800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2213442191 and 2213442200.

It is not an unprimeable number, because it can be changed into a prime (2213442227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482377 + ... + 486943.

It is an arithmetic number, because the mean of its divisors is an integer number (105712656).

Almost surely, 22213442220 is an apocalyptic number.

2213442220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213442220 is an abundant number, since it is smaller than the sum of its proper divisors (2860765268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2213442220 is a wasteful number, since it uses less digits than its factorization.

2213442220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2213442220 is about 47047.2339250673. The cubic root of 2213442220 is about 1303.2349846460.

Adding to 2213442220 its reverse (222443122), we get a palindrome (2435885342).

The spelling of 2213442220 in words is "two billion, two hundred thirteen million, four hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2203 4406 4567 8812 9134 11015 18268 22030 22835 24233 44060 45670 48466 50237 91340 96932 100474 121165 200948 242330 251185 484660 502370 1004740 10061101 20122202 40244404 50305505 100611010 110672111 201222020 221344222 442688444 553360555 1106721110 2213442220